期刊文献+

三自由度含间隙塑性碰撞振动系统的分岔与混沌

Bifurcation and chaos of three-degree-of-freedom plastic vibro-impact system with clearance
下载PDF
导出
摘要 研究了一类三自由度含间隙双边塑性碰撞振动的模型的分岔和混沌运动。建立其Poincaré映射,通过数值仿真和解析解结合的方法揭示了系统通过倍化分岔、Hopf分岔和概周期通向混沌的道路,分析了系统在分岔点附近的复杂的动力学行为。 Bifurcation and chaos of a kind of three-degree-of-freedom plastic vibro-impact system with clearance is studied. Its Poincar6 mapping is established, combining numerical simulation and analysis solution, the paths of the system from doubling bifurcation, Hopf bifurcation and quasi-periodic to chaos is revealed, the dynamics behavior near the bifurcation point of the system is analyzed.
作者 王龙
出处 《机械》 2014年第1期32-35,共4页 Machinery
关键词 含间隙系统 周期运动 Poincar6映射 分岔 system with clearance periodic motion Poincar6 mapping bifurcation
  • 相关文献

参考文献9

二级参考文献32

  • 1胡海岩.分段光滑机械系统动力学的进展[J].振动工程学报,1995,8(4):331-341. 被引量:34
  • 2谢建华.一类碰撞振动系统的余维二分叉和Hopf分叉[J].应用数学和力学,1996,17(1):63-73. 被引量:39
  • 3胡海岩.力学系统混沌的主动控制[J].力学进展,1996,26(4):453-463. 被引量:32
  • 4Whiston G S. Singularities in vibro-impact dynamics. Journal of Sound and Vibration, 1992, 152(3) :427 ~ 460. 被引量:1
  • 5Hu H Y. Detection of grazing orbits and incident bifurcations of a forced continuous piecewise-linear oscillator. Journal of Sound and Vibration, 1994.187(3) :485 ~ 493. 被引量:1
  • 6Luo G W, Xie J H. Bifurcation and chaos in a system with impacts. Physica D, 2001, 148:183-200. 被引量:1
  • 7Knudsen J, Massih A R. Dynamic stability of weakly damped oscillators with elastic impacts and wear. Journal of Sound and Vibration, 2003, 263:175 ~204. 被引量:1
  • 8Hu H Y. Controlling chaos of a periodically forced nonsmooth mechanical system. Acta Mechanica Sinica, 1995, 11(3) :251 ~ 258. 被引量:1
  • 9WEN BangChun, LIU ShuYing, He Jing. Theory and dynamic design method of vibration mechanics. Beijing: China Machine Press, 2002(In Chinese)(闻邦椿,刘树英,何勍.振动机械的理论与动态设计方法.北京:机械工业出版社,2002). 被引量:1
  • 10LI RongFang, Wang JianJun. Dynamics of gearings. Beijing: Science Press,1997(In Chinese)(李润方,王建军.齿轮系统动力学.北京:科学出版社,1997). 被引量:1

共引文献69

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部